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Sliva [168]
2 years ago
12

(½ point for model; ½ point for correct simplified expression)(8x + 2) + (-9x + 7)

Mathematics
1 answer:
Alexxx [7]2 years ago
5 0

Answer:

Simplified= −x+9

Step-by-step explanation:

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A sea lion jumped out of the water to a height of 3 feet above sea level. The number line shows the location of the sea lion at
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on the number line it would go from 0 and with a positive line go to 3 and when it’s dive down it would with a negative line go 9 spaces towards the negative side of the number line and the answer would be -6 I think tha

Step-by-step explanation:

3 0
3 years ago
a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

=========================================================

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

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3 years ago
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What is the area, in square centimeters, of the isosceles trapezoid below?
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Both triangles area:
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you don’t need to divide by two cause there’s two triangles anyways.

also, you get 8.2 by subtracting the total length by the top length. (13.5-5.3)

rectangle:
4.2 x 5.3 = 22.26

the total area is 56.7cm squared
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